| 多重集非凸分裂可行问题的非精确均值投影算法 |
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| 引用本文： | 郭科,朱春容.多重集非凸分裂可行问题的非精确均值投影算法[J].数学研究及应用,2020,40(5):534-542. |
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| 作者姓名： | 郭科 朱春容 |
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| 作者单位： | 西华师范大学数学与信息学院, 四川 南充637002 |
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| 基金项目： | 国家自然科学基金(Grant Nos.11801455; 11971238),中国博士后科学基金(Grant No.2019M663459), 四川省科技厅应用基础基金(Grant No.20YYJC2523), 西华师范大学基本研究基金(Grant Nos.17E084; 18B031). |
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| 摘 要： | 在本文中,我们引入了非精确均值投影算法来求解多重集非凸分裂可行问题,其中这些非凸集合为半代数邻近正则集合.通过借助著名的Kurdyka-Lojasiewicz不等式理论,我们建立了算法的收敛性.
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| 关 键 词： | 多重集分裂可行问题 均值投影 Kurdyka-Lojasiewicz不等式 |
| 收稿时间： | 2019/5/7 0:00:00 |
| 修稿时间： | 2019/9/4 0:00:00 |
Inexact Averaged Projection Algorithm for Nonconvex Multiple-Set Split Feasibility Problems |
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| Ke GUO,Chunrong ZHU.Inexact Averaged Projection Algorithm for Nonconvex Multiple-Set Split Feasibility Problems[J].Journal of Mathematical Research with Applications,2020,40(5):534-542. |
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| Authors: | Ke GUO Chunrong ZHU |
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| Institution: | School of Mathematics and Information, China West Normal University, Sichuan 637002, P. R. China |
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| Abstract: | In this paper, we introduce an inexact averaged projection algorithm to solve the nonconvex multiple-set split feasibility problem, where the involved sets are semi-algebraic prox-regular sets. By means of the well-known Kurdyka-\L ojasiewicz inequality, we establish the convergence of the proposed algorithm. |
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| Keywords: | multiple-set split feasibility problem averaged projections Kurdyka-\L ojasiewicz inequality |
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